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Schrödinger operators with potentials generated by hyperbolic transformations: I. Positivity of the Lyapunov exponent (with Artur Avila, Zhenghe Zhang), Invent. Math. 231 (2023), 851-927. Lyapunov exponents: recent applications of Furstenberg's theorem in spectral theory, MATRIX Annals, MATRIX Book Ser. 4, Springer, Cham (2021), 685--689 Counterexamples to the Kotani-Last conjecture for continuum Schrödinger operators via character-automorphic Hardy spaces (with Peter Yuditskii), Adv. Math. 293 (2016), 738-781 Characterizations of uniform hyperbolicity and spectra of CMV matrices (with Jake Fillman, Milivoje Lukic, and William Yessen), Discrete Contin. Dyn. Syst. S 9 (2016), 1009-1023

New anomalous Lieb-Robinson bounds in quasiperiodic XY chains (with Marius Lemm, Milivoje Lukic and William Yessen), Phys. Rev. Lett. 113 (2014), 127202

Footnotes

Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent (with Valmir Bucaj, Jake Fillman, Vitaly Gerbuz, Tom VandenBoom, Fengpeng Wang, Zhenghe Zhang), Trans. Amer. Math. Soc. 372 (2019), 3619-3667 Multidimensional almost-periodic Schrödinger operators with Cantor spectrum (with Jake Fillman and Anton Gorodetski), Ann. Henri Poincaré 20 (2019), 1393-1402 Positive Lyapunov exponents and a large deviation theorem for continuum Anderson models, briefly (with Valmir Bucaj, Jake Fillman, Vitaly Gerbuz, Tom VandenBoom, Fengpeng Wang, Zhenghe Zhang), J. Funct. Anal. 277 (2019), 3179-3186

Almost ballistic transport for the weakly coupled Fibonacci Hamiltonian (with Anton Gorodetski), Israel J. Math. 206 (2015), 109-126

Okulary jedno- i wieloogniskowe

Limit-periodic continuum Schrödinger operators with zero measure Cantor spectrum (with Jake Fillman and Milivoje Lukic), J. Spectr. Theory 7 (2017), 1101-1118 Almost periodicity in time of solutions of the KdV equation (with Ilia Binder, Michael Goldstein, Milivoje Lukic), Duke Math. J. 167 (2018), 2633-2678